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Finding the Third Proportional to 283,367 and 431,816

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Solution

The third proportional to 283,367 and 431,816 is: 658,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,367 : 431,816 = 431,816 : x
  2. Step 2: Convert to fraction form
    283,367/431,816 = 431,816/x
  3. Step 3: Cross multiply
    283,367x = 431,816 × 431,816
  4. Step 4: Simplify right side
    283,367x = 186,465,057,856
  5. Step 5: Solve for x
    x = 186,465,057,856/283,367
  6. Step 6: Final answer
    x = 658,033.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.